SOLUTION: I have 14, 8ft railroad ties. I cannot cut these ties. I need to know the maximum area and dimensions of a rectangle using the uncut ties. So far I have: 2L+2W=112 L+W=56 W=56-L

Question 51097: I have 14, 8ft railroad ties. I cannot cut these ties. I need to know the maximum area and dimensions of a rectangle using the uncut ties. So far I have:
2L+2W=112
L+W=56
W=56-L
A=L(56-L)
A=-L^2+56L
L=-b/2a=-56/2(-1)=28
I came up with max area =784'^2 and dimensions 28' x 28'. Then I realize that can't be right because I would have to cut the rr ties. How do I figure in the uncut ties?
Answer by checkley71(8403) (Show Source): You can put this solution on YOUR website!
14 8 FOOT TIES CAN MAKE A RECTANGLE OF L+W=14/2 OR L+W=7 OR MAX VALUES OF X&Y ARE 3 & 4 THUS A 3 BY 4 TIE RECTANGLE IS THE MAX SIZE OR (3*8)(4*8)=24*32=768 SQFT.
PROOF DRAW RECTANGLE USING 8 FOOT LINES FOR EACH TIE AND YOU'LL FIND A 3 BY 4
RECTANGLE IS THE LARGEST AREA.
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